The young attacker is set to be at the heart of a fierce transfer tussle this summer having reportedly turned down the offer of a contract extension with Real Sociedad. As it stands his contract will expire in 2016, and his current employers will be under pressure to sell up in order to recoup a large transfer fee.
His release clause is said to stand at €30 million, although his suitors which include both Liverpool and Arsenal, may not be willing to pay that fee and will be hopeful of negotiating over a fee with Sociedad.
One team who would have no issue in forking out that sort of cash is Chelsea, who according to the Express have thrown their hat into the ring for his services.
Arsenal and Liverpool battle
Griezmann has established himself as one of the most sought-after youngsters in Europe after scoring 16 times last term to help Sociedad secure 7th place in La Liga, and also featured at the World Cup. However the fact that he's believed to have turned down a contract extension that would have kept him with the club until 2018 indicates that he's angling for a move, and he could well be on his way to the Premier League.
Manchester United monitoring
Arsenal have a long-standing interest in the 23-year-old, while Liverpool have also been linked with a move. Interesting reports today suggest Manchester United could also be looking to make an offer in the near future having been priced out of a move for Real Madrid's Angel di Maria.
Having so many Premier League clubs interested will certainly play into the hands of Real Sociedad, who will hope to encourage a bidding war.
The Frenchman can play the main striker role but is perhaps better suited to a wide-forward position, meaning he wouldn't be an idea fit for a team like Arsenal who are in need of a front man desperately this summer. The same goes for Chelsea, who still look short of numbers in attack despite the impending arrival of Diego Costa.
Manchester United may be able to find space for him at Old Trafford given their failings in wide positions last season, but whether he is wanted by new boss Louis van Gaal remains to be seen.
Finally Liverpool should have plenty of cash to spend with Luis Suarez expected to join Barcelona shortly. Although Liverpool boss Brendan Rodgers has set his sights on a host of other targets, Raheem Sterling may move off the right wing and into the middle to fill Suarez's position, thus leaving a space in his team - although it is one that new-boy Adam Lallana could easily fill.